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Finding the Third Proportional to 133,703 and 200,584

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Solution

The third proportional to 133,703 and 200,584 is: 300,920.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,703 : 200,584 = 200,584 : x
  2. Step 2: Convert to fraction form
    133,703/200,584 = 200,584/x
  3. Step 3: Cross multiply
    133,703x = 200,584 × 200,584
  4. Step 4: Simplify right side
    133,703x = 40,233,941,056
  5. Step 5: Solve for x
    x = 40,233,941,056/133,703
  6. Step 6: Final answer
    x = 300,920.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.